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Univalence and convexity properties for confluent hypergeometric functions

 

作者: S. Ponnusamy,   M. Vuorinen,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 1  

页码: 73-97

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815101

 

出版商: Gordon and Breach Science Publishers

 

关键词: Confluent hypergeometric functions;univalent;convex and starlike functions;Primary 30C45;Secondary 33A30

 

数据来源: Taylor

 

摘要:

The authors determine conditions for close-to-convexity (and, in particular, univalence), convexity and starlikeness of confluent hypergeometric functions. Several new examples are considered for the univalence question for the series of the formespecially when the coefficientsanare real and non-negative for eachn⩽2.

 

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